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At a call centre, in a random sample of 31 employees, it was found that they...

At a call centre, in a random sample of 31 employees, it was found that they took on average 25.4 calls per day with a standard deviation of 3.4 calls. If we wanted to test whether the employees are taking a different amount of calls than the target 27 calls per day, what is the p-value of the test?

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Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 27

Ha : 27

Test statistic = t

= ( - ) / s / n

= (25.4 - 25) / 3.4 / 31  

Test statistic = -2.62

df = 30

P-value = 0.0137

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